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Solution for 37.000 is what percent of 36:

37.000:36*100 =

(37.000*100):36 =

3700:36 = 102.77777777778

Now we have: 37.000 is what percent of 36 = 102.77777777778

Question: 37.000 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={36}.

Step 4: In the same vein, {x\%}={37.000}.

Step 5: This gives us a pair of simple equations:

{100\%}={36}(1).

{x\%}={37.000}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{36}{37.000}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{37.000}{36}

\Rightarrow{x} = {102.77777777778\%}

Therefore, {37.000} is {102.77777777778\%} of {36}.

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Solution for 36 is what percent of 37.000:

36:37.000*100 =

(36*100):37.000 =

3600:37.000 = 97.297297297297

Now we have: 36 is what percent of 37.000 = 97.297297297297

Question: 36 is what percent of 37.000?

Percentage solution with steps:

Step 1: We make the assumption that 37.000 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={37.000}.

Step 4: In the same vein, {x\%}={36}.

Step 5: This gives us a pair of simple equations:

{100\%}={37.000}(1).

{x\%}={36}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{37.000}{36}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{36}{37.000}

\Rightarrow{x} = {97.297297297297\%}

Therefore, {36} is {97.297297297297\%} of {37.000}.